Complementarity Relations Between Quantum Steering Criteria

TL;DR

This paper explores the relationships between different quantum steering criteria, establishing complementarity relations in bipartite and multipartite quantum systems, thereby advancing understanding of quantum coherence and nonlocality.

Contribution

It derives complementarity relations between quantum steering criteria and extends these concepts from bipartite to multipartite quantum systems.

Findings

Complementarity relations between steering criteria are established.

The framework is extended to three-qubit and multi-partite systems.

Results deepen understanding of quantum coherence and nonlocality.

Abstract

Recently, a connection between quantum coherence and quantum steering was established and criteria for quantum steering or in other words, nonlocal advantage of quantum coherence (NAQC) were derived for two-qubit states. Here, we derive a set of complementarity relations between the steering or NAQC inequalities achieved by various criteria. We also extend the idea in the multi-partite scenario, specifically, in the three-qubit scenario, which can easily be generalized to the multi-partite scenario.